SOLUTION: A man spends4/15 of his monthly income on house rent1/2 on food and 1/5 on other items. He saves 400 rupees in the end what was his monthly income

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A man spends4/15 of his monthly income on house rent1/2 on food and 1/5 on other items. He saves 400 rupees in the end what was his monthly income       Log On


   

Question 1054865: A man spends4/15 of his monthly income on house rent1/2 on food and 1/5 on other items. He saves 400 rupees in the end what was his monthly income
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = his monthly income
+%28+4%2F15+%29%2Ax+%2B+%28+1%2F2+%29%2Ax+%2B+%28+1%2F5+%29%2Ax+%2B+400+=+x+
Multiply both sides by +30+
+8x+%2B+15x+%2B+6x+%2B+12000++=+30x+
+30x+-+29x+=+12000+
+x+=+12000+
His monthly income was 12,000 rupees